How do you write the equation of a line through (5,-2) and (0,3)?

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How do you write the equation of a line through (5,-2) and (0,3)?

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Answer 1 · 2016-11-19T05:22:48

#y=-x+3#

Explanation:

We can either find the slope and a point (point-slope form), or find the slope and the y intercept (slope-intercept form). We are given 2 points, from which we can find the slope, and one of those points is on the y axis #(0,3)#.

Use slope-intercept form #y=mx+b#

Intercept given is at #(0,3)#

Slope :
#m=(y_2-y_1)/(x_2-x_1)#
#m=((3)-(-2))/((0)-(5))#
#m=(5)/(-5)#
#m=-1#

Equation:
#y=(-1)x+(3)#
#y=-x+3#

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How do you write the equation of a line through (5,-2) and (0,3)?

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